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8433431664 = 243725099499
BaseRepresentation
bin1111101101010101…
…11111010001110000
3210202201222201100220
413312222333101300
5114232424303124
63512501413040
7415662662220
oct76652772160
923681881326
108433431664
1136384a8039
12177440a180
13a4528b668
145a0092080
153455b4879
hex1f6abf470

8433431664 has 40 divisors (see below), whose sum is σ = 24898704000. Its totient is φ = 2409551808.

The previous prime is 8433431663. The next prime is 8433431683. The reversal of 8433431664 is 4661343348.

It is a super-2 number, since 2×84334316642 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8433431663) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12549414 + ... + 12550085.

It is an arithmetic number, because the mean of its divisors is an integer number (622467600).

Almost surely, 28433431664 is an apocalyptic number.

8433431664 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

8433431664 is an abundant number, since it is smaller than the sum of its proper divisors (16465272336).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8433431664 is a wasteful number, since it uses less digits than its factorization.

8433431664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25099517 (or 25099511 counting only the distinct ones).

The product of its digits is 497664, while the sum is 42.

The square root of 8433431664 is about 91833.7174680411. The cubic root of 8433431664 is about 2035.4859550154.

The spelling of 8433431664 in words is "eight billion, four hundred thirty-three million, four hundred thirty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 25099499 50198998 75298497 100397996 150596994 175696493 200795992 301193988 351392986 401591984 527089479 602387976 702785972 1054178958 1204775952 1405571944 2108357916 2811143888 4216715832 8433431664